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Finding the Fourth Proportional to 675.55, 932.25 and 380.82

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Solution

The fourth proportional to 675.55, 932.25 and 380.82 is: 525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.55 : 932.25 = 380.82 : x
  2. Step 2: Convert to fraction form
    675.55/932.25 = 380.82/x
  3. Step 3: Cross multiply
    675.55x = 932.25 × 380.82
  4. Step 4: Simplify right side
    675.55x = 355,019.45
  5. Step 5: Solve for x
    x = 355,019.45/675.55
  6. Step 6: Final answer
    x = 525.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.